Question

F(x) = 3^x-9. Find the inverse of f(x). ASAP

Answer 1

Answer:

A

Step-by-step explanation:

Given :

• f(x) = ³√[ x - 9 ]

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

$:\implies$ f(x) = y

$:\implies$ y = ³√[ x - 9 ]

$:\implies$ x = ³√[ y - 9 ]

$:\implies$ x³ = y - 9

$:\implies$ y = x³ + 9

$:\implies$ f-¹(x) = x³ + 9

Hence option A is correct .

Answer 2

Answer:

Step-by-step explanation:

y=  (x -9)^  1/3

to find the inverse switch x with y and solve for y

x=  (y -9)^  1/3

x³ = y-9

y= x³ +9